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L-偏序集中L_k-素闭包算子和L_k-素内部算子

L_k-prime Closure Operators and L_k-prime Interior Operators on L-partially Ordered Sets
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摘要 本文在完备剩余格上引入了L-偏序集,给出了L-偏序集上L_k-素闭包算子和L_k-素内部算子的概念及其等价刻画,在此基础上推广得出了n重L_k-素闭包算子和n重L_k-素内部算子的概念及其等价刻画。 This paper introduces the concept of L-partially ordered sets on complete residual lattices, and gives the concepts of Lk-prime closure operators and Lk-prime interior operators and characterizations on them. And then, gives the generalization. The concepts of n multiple Lk-prime closure operators and b multiple Lk-prime interior operators and characterization on them are obtained.
作者 徐款款 卢涛 XU Kuan-kuan;LU Tao(School of Mathematical Science,Huaibei Normal,University Huaibei 235000,China)
出处 《模糊系统与数学》 北大核心 2019年第2期19-22,共4页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(11571175) 安徽省高校自然科学研究重点项目(KJ2016A635)
关键词 L-偏序集 Lk-素闭包算子 Lk-素内部算子 L-partially Ordered Sets Lk-prime Closure Operators Lk-prime Interior Operators
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